Artigo em periódico
Data-driven nonquadratic stabilization of Takagi-Sugeno fuzzy systems
COUTINHO, Pedro Henrique Silva2025COUTINHO, Pedro Henrique Silva; OLIVEIRA, Pedro Moreira de; BESSA, Iury Valente; LACERDA, Márcio Júnior; PALHARES, Reinaldo Martinez
Resumo
Resumo
This work presents a new data-driven fuzzy control framework for the nonquadratic stabilization of Takagi-Sugeno (TS) fuzzy systems. We provide a data-driven stabilization condition via a nonquadratic Lyapunov function using only trajectory data collected from the system. Moreover, we propose a systematic methodology to obtain data-driven TS representations of nonlinear systems from a given dictionary of premise variables, via the sector nonlinearity approach. Besides synthesizing the fuzzy controller such that the origin of the closed-loop system is asymptotically stable, we provide an estimate of the region of attraction of the closed-loop equilibrium with formal guarantees. The estimate of the region of attraction is crucial to enable the implementation of the fuzzy controller in circumstances where the membership functions are well-defined for the state trajectory lying in a given region of validity. Numerical examples illustrate the effectiveness of the proposed data-driven fuzzy control framework
Autoria
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palavras-chave
Palavras-chave
Takagi-Sugeno fuzzy systemsnon-quadratic Lyapunov functionstrajectory datasector nonlinearityfuzzy system identificationregion of attraction estimationasymptotic stabilitymembership functions
Volume
362
Número
17
Páginas
108131
Editora
Elsevier BV
Status
Published
links
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Artigo em periódico